Review Article

Recent Fuzzy Generalisations of Rough Sets Theory: A Systematic Review and Methodological Critique of the Literature

Table 7

Distribution papers based on other application areas.

Author and referenceApplication fieldType of studyStudy categoryStudy contribution

 Zhang et al. [137]Pattern recognitionDevelopedFuzzy and rough setsPresented a novel rough set model by integrating multigranulation rough sets over two universes and interval-valued hesitant fuzzy sets which is called interval-valued hesitant fuzzy multigranulation rough sets
 Bobillo and Straccia [138]Web ontologyProposedFuzzy-rough setsPresented a solution related to fuzzy DLs and rough DLs which is called fuzzy-rough DL
 Liu [139]Axiomatic approachesDevelopedFuzzy-rough setsInvestigated the fixed universal set where, unless otherwise stated, the cardinality of is infinite
 An et al. [140]Fuzzy-rough regressionDevelopedFuzzy-rough setsAnalyzed the regression algorithm based on fuzzy partition, fuzzy-rough sets, estimation of regression values, and fuzzy approximation for estimating wind speed
 Riza et al. [141]Software packagesDevelopedFuzzy-rough setsImplementing and developing fuzzy-rough set theory and rough set theory algorithms in the package
 Shiraz et al. [142]Fuzzy-rough DEAProposedFuzzy-rough setsProposed a new fuzzy-rough DEA approach by combining the classical DEA, rough set, and fuzzy set theory to accommodate for uncertainty
 Saltos and Weber [11]Data miningProposedFuzzy-rough setsIntroduced a new soft clustering model based on support vector clustering
 Zeng et al. [143]Big dataDevelopedFuzzy-rough setsAnalyzed the changing mechanisms of the attribute values and fuzzy equivalence relations in fuzzy-rough sets
 Zhou et al. [144]Rough set-based clusteringDevelopedFuzzy-rough setsDeveloped a new approach for automatic selection of the threshold parameter for determining the approximation regions in rough set-based clustering
 Verbiest et al. [145]Prototype selectionProposedFuzzy-rough setsIntroduced the prototype selection model based on fuzzy-rough sets
 Vluymans et al. [19]Multi-instance learningProposedFuzzy-rough setsIntroduced a novel kind of classifier for imbalanced multi-instance data based on fuzzy-rough set theory
 Pramanik et al. [146]Solid transportationDevelopedFuzzy-rough setsDeveloped biobjective fuzzy-rough expected value approaches
 Liu [147]Binary relationDevelopedFuzzy-rough setsDefined the concept of a solitary set for any binary relation from to
 Meher [148]Pattern classificationDevelopedFuzzy-rough setsDeveloped the new rough fuzzy pattern classification approach by combining the merits of fuzzy and rough sets
 Kundu and Pal [149]Social networksProposedFuzzy-rough setsProposed a new community detection algorithm to identify fuzzy-rough communities
 Ganivada et al. [150]Granular computingProposedFuzzy-rough setsProposed the fuzzy-rough granular self-organizing map (FRGSOM), including the three-dimensional linguistic vector and connection weights for clustering patterns having overlapping regions
 Amiri and Jensen [151]Missing data imputationProposedFuzzy-rough setsIntroduced three missing imputation approaches based on fuzzy-rough nearest neighbors, namely, VQNNI, OWANNI and FRNNI
 Ramentol et al. [152]Fuzzy-rough imbalanced learningProposedFuzzy-rough setsIntroduced the use of data mining approaches in order to forecast the need of maintenance
 Affonso et al. [153]Artificial neural networkProposedFuzzy-rough setsProposed a new method for biological image classification by a rough-fuzzy artificial neural network
 Shukla and Kiridena [154]Dynamic supply chainDevelopedFuzzy-rough setsDeveloped a new framework based on fuzzy-rough sets for configuring supply chain networks
 Pahlavani et al. [155]Remote SensingProposedFuzzy-rough setsProposed a novel fuzzy-rough set model to extract rules in the ANFIS based classification procedure for choosing the optimum features
 Xie and Hu [156]Fuzzy-rough setProposedFuzzy-rough setsIntroduced a novel extended model based on three kinds of fuzzy-rough sets and two universes
 Zhao et al. [157]Constructing classifierDevelopedFuzzy-rough sets Developed a rule-based classifier fuzzy-rough using one generalized fuzzy-rough model to introduce a novel idea which was called consistence degree
 Maji and Pal [158]Gene selectionProposedFuzzy-rough setsPresented a new fuzzy equivalence partition matrix for approximating of the true marginal and joint distributions of continuous gene expression values
 Huang and Kuo [159]Cross-lingualDevelopedFuzzy-rough setsInvestigated two perspectives of cross-lingual semantic document similarity measures based on fuzzy sets and rough sets which was named formulation of similarity measures and document representation
 Wang et al. [160]Active learningProposedFuzzy-rough setsProposed a new fuzzy-rough set approach for the sample’s inconsistency between decision labels and conditional features
 Ramentol et al. [161]Imbalanced classificationProposedFuzzy-rough setsDeveloped a learning algorithm for considering the imbalance representation and proposed a classification algorithm for imbalanced data by using fuzzy-rough sets and ordered weighted average aggregation
 Zhang et al. [162]Parallel disassembly sequence planningProposedFuzzy-rough setsProposed a new parallel disassembly sequence planning based on fuzzy-rough sets to reduce time complexity
 Derrac et al. [163]Prototype selectionProposedFuzzy-rough setsIntroduced a new fuzzy-rough set model for prototype selection based on optimizing the behavior of this classifier
 Verbiest et al. [164]Prototype selectionProposedFuzzy-rough setsImproved The Synthetic Minority Over-Sampling Technique (SMOTE) to balance imbalanced data and proposed two prototype selection approaches based on fuzzy-rough sets
 Zhai [165]Fuzzy decision treesProposedFuzzy-rough setsProposed new expanded attributes using significance of fuzzy conditional attributes with respect to fuzzy decision attributes
 Zhao et al. [166]Uncertainty measureProposedFuzzy-rough setsIntroduced a novel complement information entropy method in fuzzy-rough sets based on arbitrary fuzzy relations, inner-class and outer-class information
 Hu et al. [167]Fuzzy-rough setDevelopedFuzzy-rough setsExamined the properties of some existing fuzzy-rough sets in dealing with noisy data and proposed various robust approaches
 Changdar et al. [168]Genetic algorithmProposedFuzzy-rough setsPresented a new genetic-ant colony optimization algorithm in a fuzzy-rough set environment for solving problems related to the solid multiple Travelling Salesmen Problem (mTSP)
 Sun and Ma [169]Emergency plans evaluationProposedFuzzy-rough setsIntroduced a novel model to evaluate emergency plans for unconventional emergency events using soft fuzzy-rough set theory